## THERMAL SCIENCE

International Scientific Journal

### A PERIODIC SOLUTION FOR THE LOCAL FRACTIONAL BOUSSINESQ EQUATION ON CANTOR SETS

**ABSTRACT**

In this paper, the periodic solution for the local fractional Boussinesq equation can be obtained in the sense of the local fractional derivative. It’s given by applying direct integration with symmetry condition. Meanwhile, the periodic solution of the non-differentiable type with generalized functions defined on Cantor sets is analyzed. As a result, we have a new point to look the local fractional Boussinesq equation through the local fractional derivative theory.

**KEYWORDS**

PAPER SUBMITTED: 2018-08-22

PAPER REVISED: 2018-11-20

PAPER ACCEPTED: 2019-01-05

PUBLISHED ONLINE: 2019-06-08

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**6**, PAGES [3719 - 3723]

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